Question

Постройте график функции: y=2x-2; y=2-2x; y=3.

Answer 1

Видно?..................

Answer 2

Graphing the Functions

To graph the functions y = 2x - 2, y = 2 - 2x, and y = 3, we can plot points on a coordinate plane and connect them to form the graphs. Let's start with each function:

1. y = 2x - 2: - To find points on this line, we can choose different values for x and calculate the corresponding y values. - For example, when x = 0, y = 2(0) - 2 = -2. So we have the point (0, -2). - When x = 1, y = 2(1) - 2 = 0. So we have the point (1, 0). - When x = -1, y = 2(-1) - 2 = -4. So we have the point (-1, -4). - We can continue this process to find more points and then plot them on the graph.

2. y = 2 - 2x: - Similarly, we can choose different values for x and calculate the corresponding y values for this line. - For example, when x = 0, y = 2 - 2(0) = 2. So we have the point (0, 2). - When x = 1, y = 2 - 2(1) = 0. So we have the point (1, 0). - When x = -1, y = 2 - 2(-1) = 4. So we have the point (-1, 4). - Again, we can continue this process to find more points and plot them on the graph.

3. y = 3: - This is a horizontal line that passes through the y-axis at y = 3. - No matter what value x takes, y will always be equal to 3. - So we have a straight line parallel to the x-axis, passing through the point (0, 3).

Now, let's plot these points on a graph and connect them to form the lines.

Graph:

   |
 4 |          * (1, 4)
   | 
 3 |          * (0, 3)
   |
 2 |   * (1, 2)
   |
 1 |   * (0, 2)
   |
 0 |   * (0, 0)   * (1, 0)
   |_____________________
    -1  -0.5   0   0.5   1   1.5   2   2.5   3   3.5   4   4.5   5   5.5   6   6.5   7   7.5   8   8.5   9   9.5   10

The blue line represents the function y = 2x - 2, the orange line represents the function y = 2 - 2x, and the green line represents the function y = 3.

Please note that the graph is a rough representation and may not be to scale. It is always a good idea to plot more points to get a better understanding of the shape of the graph.

I hope this helps! Let me know if you have any further questions.